Side Lengths | MCQs

Explanation

According to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Let the third side be x.

Given sides: 6 cm and 14 cm

The third side x must satisfy:

1. x + 6 > 14 => x > 8

2. x + 14 > 6 => x > -8 (this is always true since x is positive)

3. 6 + 14 > x => x < 20

Combining these conditions:

8 < x < 20